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Finding the Fourth Proportional to 220,163.95, 303,919.28 and 148,640.86

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Solution

The fourth proportional to 220,163.95, 303,919.28 and 148,640.86 is: 205,187.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,163.95 : 303,919.28 = 148,640.86 : x
  2. Step 2: Convert to fraction form
    220,163.95/303,919.28 = 148,640.86/x
  3. Step 3: Cross multiply
    220,163.95x = 303,919.28 × 148,640.86
  4. Step 4: Simplify right side
    220,163.95x = 45,174,823,149.78
  5. Step 5: Solve for x
    x = 45,174,823,149.78/220,163.95
  6. Step 6: Final answer
    x = 205,187.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.